Search a number
-
+
244353032 = 237113771151
BaseRepresentation
bin11101001000010…
…00100000001000
3122000210102100022
432210020200020
51000023244112
640125200012
76024652340
oct1644104010
9560712308
10244353032
11115a27060
1269a00008
133b8162c1
1424649d20
15166bad72
hexe908808

244353032 has 128 divisors (see below), whose sum is σ = 598855680. Its totient is φ = 90720000.

The previous prime is 244353029. The next prime is 244353061. The reversal of 244353032 is 230353442.

It is a junction number, because it is equal to n+sod(n) for n = 244352992 and 244353010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618157 + ... + 1618307.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2244353032 is an apocalyptic number.

244353032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244353032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299427840).

244353032 is an abundant number, since it is smaller than the sum of its proper divisors (354502648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244353032 is a wasteful number, since it uses less digits than its factorization.

244353032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 244353032 is about 15631.7955462576. The cubic root of 244353032 is about 625.1812014339.

The spelling of 244353032 in words is "two hundred forty-four million, three hundred fifty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 71 74 77 88 142 148 151 154 259 284 296 302 308 407 497 518 568 604 616 781 814 994 1036 1057 1208 1562 1628 1661 1988 2072 2114 2627 2849 3124 3256 3322 3976 4228 5254 5467 5587 5698 6248 6644 8456 10508 10721 10934 11174 11396 11627 13288 18389 21016 21442 21868 22348 22792 23254 28897 36778 39109 42884 43736 44696 46508 57794 61457 73556 75047 78218 85768 93016 115588 117931 122914 147112 150094 156436 202279 231176 235862 245828 300188 312872 396677 404558 430199 471724 491656 600376 793354 809116 825517 860398 943448 1586708 1618232 1651034 1720796 2776739 3173416 3302068 3441592 4363447 5553478 6604136 8726894 11106956 17453788 22213912 30544129 34907576 61088258 122176516 244353032